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Finding the Fourth Proportional to 388,325.40, 582,507.30 and 201,701.40

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Solution

The fourth proportional to 388,325.40, 582,507.30 and 201,701.40 is: 302,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,325.40 : 582,507.30 = 201,701.40 : x
  2. Step 2: Convert to fraction form
    388,325.40/582,507.30 = 201,701.40/x
  3. Step 3: Cross multiply
    388,325.40x = 582,507.30 × 201,701.40
  4. Step 4: Simplify right side
    388,325.40x = 117,492,537,920.22
  5. Step 5: Solve for x
    x = 117,492,537,920.22/388,325.40
  6. Step 6: Final answer
    x = 302,562.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.